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Mathematics LibreTexts

2.4.1: Rates of Change and Behavior of Graphs (Exercises)

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For the following exercises, find the average rate of change of the functions from x=1 to x=2.

24. f(x)=4x3
25. f(x)=10x2+x
26. f(x)=2x2

For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant.

27

Graph of a parabola.

28.

Graph of a cubic function.

29.

Graph of a function.

30. Find the local minimum of the function graphed in Exercise 3.27 .
31. Find the local extrema for the function graphed in Exercise 3.28 .
32. For the graph in Figure 2.4.1.3, the domain of the function is [-3,3] . The range is [-10,10] . Find the absolute minimum of the function on this interval.
33. Find the absolute maximum of the function graphed in Figure 2.4.1.3.

Graph of a cubic function.
Figure 2.4.1.3

This page titled 2.4.1: Rates of Change and Behavior of Graphs (Exercises) is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.

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